Finite Group Databasebeta

← C2×#13091649 #72244302

Subgroups — C2×#13091649 #72244302

Order 2916.

837 conjugacy classes of subgroups; only the 108 normal subgroups are shown.

normal subgroups only

This group has 837 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13091649C212yesmaximal, direct product factor
2C2×#10624931C211yesmaximal, characteristic, complemented
3C2×C3⋊#4207C311yesmaximal, characteristic, complemented
4C2×#92391—31nomaximal
5C2×C3⋊#4177C311yesmaximal, characteristic, complemented
6C2×C3⋊#4177C311yesmaximal, characteristic, complemented
7C2×C3⋊#4177C311yesmaximal, characteristic, complemented
8C2×#4177⋊C3—32nomaximal
9C2×C3×#4177—31nomaximal
10#10624931C2211yescharacteristic, complemented, Sylow
11C2×3−1+4—21no—
12C2×H(5,𝔽3)D311yescharacteristic
13C2×C3×#737C2×C311yescharacteristic, complemented
14C3⋊#4207C2×C312yescomplemented
15#92391—32no—
16C2×#6910—22no—
17C2×#6910—21no—
18C2×#6910—21no—
19C2×#6910—21no—
20C2×#6910—22no—
21C2×#6910—22no—
22C2×#6910—22no—
23C2×#6910D312yescomplemented
24C2×C3×#731—21no—
25C2×C3×#731—21no—
26C2×C3×#731—21no—
27C2×C3×#731—21no—
28C2×C3×#731D311yescharacteristic, complemented
29C2×C3×#731C2×C311yescharacteristic, complemented
30C2×C3×#731C2×C311yescharacteristic, complemented
31C2×C3×#731C2×C311yescharacteristic, complemented
32C3⋊#4177C2×C312yescomplemented
33C3⋊#4177C2×C312yescomplemented
34C3⋊#4177C2×C312yescomplemented
35#4177⋊C3—34no—
36C3×#4177—32no—
37C2×C3⋊(C3⋊D9)C3211yescharacteristic, complemented
38C2×#4207—91no—
39C2×#4207—91no—
40C2×#4207—91no—
41C2×C3⋊AGL(1,ℤ/9)—32no—
42C2×C3⋊((C3⋊D3)⋊C3)—31no—
43C2×C3⋊((C3⋊D3)⋊C3)—31no—
44C2×C3⋊((C3⋊D3)⋊C3)—31no—
45C2×C3⋊((C3⋊D3)⋊C3)—31no—
46C2×C3×C3⋊D9—31no—
47C2×C3×(C3⋊D3)⋊C3—91no—
48C2×C3×(C3⋊D3)⋊C3—91no—
49C2×C3×(C3⋊D3)⋊C3—91no—
50C2×C3×(C3⋊D3)⋊C3—91no—
51C2×#4177—31no—
52C2×#4177—31no—
53C2×#4177—31no—
54C2×#4177—32no—
55C2×#4177—32no—
56C2×#4177—32no—
573−1+4—21no—
58H(5,𝔽3)C2×D311yescharacteristic
59C3×#737C22×C311yescharacteristic, complemented
60#6910—22no—
61#6910—21no—
62#6910—21no—
63#6910—21no—
64#6910—22no—
65#6910—22no—
66#6910—22no—
67#6910C2×D312yescomplemented
68C3×#731—21no—
69C3×#731—21no—
70C3×#731—21no—
71C3×#731—21no—
72C3×#731C2×D311yescharacteristic, complemented
73C3×#731C22×C311yescharacteristic, complemented
74C3×#731C22×C311yescharacteristic, complemented
75C3×#731C22×C311yescharacteristic, complemented
76C2×#737—31no—
77C2×#737—31no—
78C2×#737—31no—
79C2×#737—61no—
80C2×#737—61no—
81C2×#737—61no—
82C2×#737—62no—
83C2×#737—62no—
84C2×#737—62no—
85C2×#737—61no—
86C2×#737—61no—
87C2×#737—61no—
88C2×C3×3−1+2—21no—
89C2×C3×3−1+2—22no—
90C2×C3×3−1+2—22no—
91C2×C3×3−1+2—22no—
92C2×C3×3−1+2—22no—
93C2×C3×3−1+2—21no—
94C2×C3×3−1+2—21no—
95C2×C3×3−1+2—21no—
96C2×C3×3−1+2—22no—
97C2×C3×3−1+2—21no—
98C2×C3×3−1+2C3×D312yescomplemented
99C2×C3×H(3,𝔽3)—21no—
100C2×C3×H(3,𝔽3)—21no—
101C2×C3×H(3,𝔽3)—21no—
102C2×C3×H(3,𝔽3)—21no—
103C2×C3×H(3,𝔽3)—31no—
104C2×C3×H(3,𝔽3)—61no—
105C2×C3×H(3,𝔽3)—61no—
106C2×C3×H(3,𝔽3)—61no—
107C2×C3×H(3,𝔽3)—61no—
108C2×C3×H(3,𝔽3)—61no—
109C2×C3×H(3,𝔽3)C3×D311yescharacteristic
110C2×C3×H(3,𝔽3)C3×D311yescharacteristic
111C2×C3×H(3,𝔽3)C3×D311yescharacteristic
112C2×C3×H(3,𝔽3)C3×D311yescharacteristic
113C2×C3×H(3,𝔽3)C3⋊D311yescharacteristic
114C2×C32×C9—21no—
115C2×C32×C9C3×D311yescharacteristic, complemented
116C2×C32×C9C2×C3211yescharacteristic, complemented
117C3⋊(C3⋊D9)C2×C3212yescomplemented
118#4207—92no—
119#4207—92no—
120#4207—92no—
121C3⋊AGL(1,ℤ/9)—34no—
122C3⋊((C3⋊D3)⋊C3)—32no—
123C3⋊((C3⋊D3)⋊C3)—32no—
124C3⋊((C3⋊D3)⋊C3)—32no—
125C3⋊((C3⋊D3)⋊C3)—32no—
126C3×C3⋊D9—32no—
127C3×(C3⋊D3)⋊C3—92no—
128C3×(C3⋊D3)⋊C3—92no—
129C3×(C3⋊D3)⋊C3—92no—
130C3×(C3⋊D3)⋊C3—92no—
131C2×#731—22no—
132C2×#731—22no—
133C2×#731—22no—
134C2×#731—22no—
135C2×#731—22no—
136C2×#731—22no—
137C2×#731—22no—
138C2×#731—22no—
139C2×#731—22no—
140C2×#731—22no—
141C2×#731—22no—
142C2×#731—22no—
143C2×#731—21no—
144C2×#731—21no—
145C2×#731—21no—
146C2×#731—21no—
147C2×#731—21no—
148C2×#731—21no—
149C2×#731—22no—
150C2×#731—22no—
151C2×#731—22no—
152C2×#731C3×D311yescharacteristic, complemented
153C2×#731C3×D311yescharacteristic, complemented
154C2×#731C3×D311yescharacteristic, complemented
155C2×#731C3×D312yescomplemented
156C2×#731C3×D312yescomplemented
157C2×#731C3×D312yescomplemented
158#4177—32no—
159#4177—32no—
160#4177—32no—
161#4177—34no—
162#4177—34no—
163#4177—34no—
164C2×C3⋊(C3⋊D3)—31no—
165C2×C3×C3⋊D3—91no—
166C2×C3×C3⋊D3—91no—
167C2×C3×C3⋊D3—91no—
168C2×C3×C3⋊D3—91no—
169C2×C32×D3—271no—
170C2×C3⋊D9—31no—
171C2×C3⋊D9—32no—
172C2×C3⋊D9—91no—
173C2×C3⋊D9—91no—
174C2×C3⋊D9—91no—
175C2×AGL(1,ℤ/9)—272no—
176C2×(C3⋊D3)⋊C3—91no—
177C2×(C3⋊D3)⋊C3—91no—
178C2×(C3⋊D3)⋊C3—91no—
179C2×(C3⋊D3)⋊C3—91no—
180C2×(C3⋊D3)⋊C3—91no—
181C2×(C3⋊D3)⋊C3—91no—
182C2×(C3⋊D3)⋊C3—91no—
183C2×(C3⋊D3)⋊C3—91no—
184C2×(C3⋊D3)⋊C3—91no—
185C2×(C3⋊D3)⋊C3—91no—
186C2×(C3⋊D3)⋊C3—91no—
187C2×(C3⋊D3)⋊C3—91no—
188C2×C3×D9—271no—
189#737—31no—
190#737—31no—
191#737—31no—
192#737—61no—
193#737—61no—
194#737—61no—
195#737—62no—
196#737—62no—
197#737—62no—
198#737—61no—
199#737—61no—
200#737—61no—
201C3×3−1+2—21no—
202C3×3−1+2—22no—
203C3×3−1+2—22no—
204C3×3−1+2—22no—
205C3×3−1+2—22no—
206C3×3−1+2—21no—
207C3×3−1+2—21no—
208C3×3−1+2—21no—
209C3×3−1+2—22no—
210C3×3−1+2—21no—
211C3×3−1+2C2×C3×D312yescomplemented
212C3×H(3,𝔽3)—21no—
213C3×H(3,𝔽3)—21no—
214C3×H(3,𝔽3)—21no—
215C3×H(3,𝔽3)—21no—
216C3×H(3,𝔽3)—31no—
217C3×H(3,𝔽3)—61no—
218C3×H(3,𝔽3)—61no—
219C3×H(3,𝔽3)—61no—
220C3×H(3,𝔽3)—61no—
221C3×H(3,𝔽3)—61no—
222C3×H(3,𝔽3)C2×C3×D311yescharacteristic
223C3×H(3,𝔽3)C2×C3×D311yescharacteristic
224C3×H(3,𝔽3)C2×C3×D311yescharacteristic
225C3×H(3,𝔽3)C2×C3×D311yescharacteristic
226C3×H(3,𝔽3)C2×C3⋊D311yescharacteristic
227C32×C9—21no—
228C32×C9C2×C3×D311yescharacteristic, complemented
229C32×C9C22×C3211yescharacteristic, complemented
230#731—22no—
231#731—22no—
232#731—22no—
233#731—22no—
234#731—22no—
235#731—22no—
236#731—22no—
237#731—22no—
238#731—22no—
239#731—22no—
240#731—22no—
241#731—22no—
242#731—21no—
243#731—21no—
244#731—21no—
245#731—21no—
246#731—21no—
247#731—21no—
248#731—22no—
249#731—22no—
250#731—22no—
251#731C2×C3×D311yescharacteristic, complemented
252#731C2×C3×D311yescharacteristic, complemented
253#731C2×C3×D311yescharacteristic, complemented
254#731C2×C3×D312yescomplemented
255#731C2×C3×D312yescomplemented
256#731C2×C3×D312yescomplemented
257C2×C33—21no—
258C2×C33—31no—
259C2×C33—61no—
260C2×C33—61no—
261C2×C33—61no—
262C2×C33—61no—
263C2×C33—61no—
264C2×C33—61no—
265C2×C33—61no—
266C2×C33C32×D311yescharacteristic
267C2×C33C3×C3⋊D311yescharacteristic
268C3⋊(C3⋊D3)—32no—
269C3×C3⋊D3—92no—
270C3×C3⋊D3—92no—
271C3×C3⋊D3—92no—
272C3×C3⋊D3—92no—
273C32×D3—272no—
274C2×3−1+2—22no—
275C2×3−1+2—22no—
276C2×3−1+2—22no—
277C2×3−1+2—21no—
278C2×3−1+2—21no—
279C2×3−1+2—21no—
280C2×3−1+2—32no—
281C2×3−1+2—62no—
282C2×3−1+2—62no—
283C2×3−1+2—62no—
284C2×3−1+2—62no—
285C2×3−1+2—62no—
286C2×3−1+2—62no—
287C2×3−1+2—62no—
288C2×3−1+2—62no—
289C2×3−1+2—62no—
290C2×3−1+2—62no—
291C2×3−1+2—62no—
292C2×3−1+2—62no—
293C2×3−1+2—61no—
294C2×3−1+2—61no—
295C2×3−1+2—61no—
296C2×3−1+2—61no—
297C2×3−1+2—61no—
298C2×3−1+2—61no—
299C2×3−1+2—61no—
300C2×3−1+2—61no—
301C2×3−1+2—61no—
302C2×3−1+2—62no—
303C2×H(3,𝔽3)—21no—
304C2×H(3,𝔽3)—21no—
305C2×H(3,𝔽3)—21no—
306C2×H(3,𝔽3)—21no—
307C2×H(3,𝔽3)—21no—
308C2×H(3,𝔽3)—21no—
309C2×H(3,𝔽3)—31no—
310C2×H(3,𝔽3)—31no—
311C2×H(3,𝔽3)—31no—
312C2×H(3,𝔽3)—61no—
313C2×H(3,𝔽3)—61no—
314C2×H(3,𝔽3)—61no—
315C2×H(3,𝔽3)—61no—
316C2×H(3,𝔽3)—61no—
317C2×H(3,𝔽3)—61no—
318C2×H(3,𝔽3)—61no—
319C2×H(3,𝔽3)—61no—
320C2×H(3,𝔽3)—61no—
321C2×H(3,𝔽3)—61no—
322C2×H(3,𝔽3)—61no—
323C2×H(3,𝔽3)—61no—
324C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
325C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
326C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
327C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
328C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
329C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
330C2×C3×C9—22no—
331C2×C3×C9—21no—
332C2×C3×C9—31no—
333C2×C3×C9—31no—
334C2×C3×C9—31no—
335C2×C3×C9—31no—
336C2×C3×C9—61no—
337C2×C3×C9—61no—
338C2×C3×C9—61no—
339C2×C3×C9—61no—
340C2×C3×C9—62no—
341C2×C3×C9—62no—
342C2×C3×C9—62no—
343C2×C3×C9—62no—
344C2×C3×C9—61no—
345C2×C3×C9—61no—
346C2×C3×C9—61no—
347C2×C3×C9—61no—
348C2×C3×C9C32×D311yescharacteristic
349C2×C3×C9C32×D312yes—
350C3⋊D9—32no—
351C3⋊D9—34no—
352C3⋊D9—92no—
353C3⋊D9—92no—
354C3⋊D9—92no—
355AGL(1,ℤ/9)—274no—
356(C3⋊D3)⋊C3—92no—
357(C3⋊D3)⋊C3—92no—
358(C3⋊D3)⋊C3—92no—
359(C3⋊D3)⋊C3—92no—
360(C3⋊D3)⋊C3—92no—
361(C3⋊D3)⋊C3—92no—
362(C3⋊D3)⋊C3—92no—
363(C3⋊D3)⋊C3—92no—
364(C3⋊D3)⋊C3—92no—
365(C3⋊D3)⋊C3—92no—
366(C3⋊D3)⋊C3—92no—
367(C3⋊D3)⋊C3—92no—
368C3×D9—272no—
369C22×C32—811no—
370C2×C3⋊D3—91no—
371C2×C3⋊D3—91no—
372C2×C3⋊D3—91no—
373C2×C3⋊D3—91no—
374C2×C3⋊D3—811no—
375C2×C3×D3—271no—
376C2×C3×D3—271no—
377C2×C3×D3—271no—
378C2×C3×D3—271no—
379C2×C3×D3—811no—
380C2×C3×D3—811no—
381C2×C3×D3—811no—
382C2×C3×D3—811no—
383C2×D9—271no—
384C2×D9—272no—
385C33—21no—
386C33—31no—
387C33—61no—
388C33—61no—
389C33—61no—
390C33—61no—
391C33—61no—
392C33—61no—
393C33—61no—
394C33C2×C32×D311yescharacteristic
395C33C2×C3×C3⋊D311yescharacteristic
3963−1+2—22no—
3973−1+2—22no—
3983−1+2—22no—
3993−1+2—21no—
4003−1+2—21no—
4013−1+2—21no—
4023−1+2—32no—
4033−1+2—62no—
4043−1+2—62no—
4053−1+2—62no—
4063−1+2—62no—
4073−1+2—62no—
4083−1+2—62no—
4093−1+2—62no—
4103−1+2—62no—
4113−1+2—62no—
4123−1+2—62no—
4133−1+2—62no—
4143−1+2—62no—
4153−1+2—61no—
4163−1+2—61no—
4173−1+2—61no—
4183−1+2—61no—
4193−1+2—61no—
4203−1+2—61no—
4213−1+2—61no—
4223−1+2—61no—
4233−1+2—61no—
4243−1+2—62no—
425H(3,𝔽3)—21no—
426H(3,𝔽3)—21no—
427H(3,𝔽3)—21no—
428H(3,𝔽3)—21no—
429H(3,𝔽3)—21no—
430H(3,𝔽3)—21no—
431H(3,𝔽3)—31no—
432H(3,𝔽3)—31no—
433H(3,𝔽3)—31no—
434H(3,𝔽3)—61no—
435H(3,𝔽3)—61no—
436H(3,𝔽3)—61no—
437H(3,𝔽3)—61no—
438H(3,𝔽3)—61no—
439H(3,𝔽3)—61no—
440H(3,𝔽3)—61no—
441H(3,𝔽3)—61no—
442H(3,𝔽3)—61no—
443H(3,𝔽3)—61no—
444H(3,𝔽3)—61no—
445H(3,𝔽3)—61no—
446H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
447H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
448H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
449H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
450H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
451H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
452C3×C9—22no—
453C3×C9—21no—
454C3×C9—31no—
455C3×C9—31no—
456C3×C9—31no—
457C3×C9—31no—
458C3×C9—61no—
459C3×C9—61no—
460C3×C9—61no—
461C3×C9—61no—
462C3×C9—62no—
463C3×C9—62no—
464C3×C9—62no—
465C3×C9—62no—
466C3×C9—61no—
467C3×C9—61no—
468C3×C9—61no—
469C3×C9—61no—
470C3×C9C2×C32×D311yescharacteristic
471C3×C9C2×C32×D312yes—
472C2×C32—21no—
473C2×C32—21no—
474C2×C32—21no—
475C2×C32—21no—
476C2×C32—31no—
477C2×C32—31no—
478C2×C32—61no—
479C2×C32—61no—
480C2×C32—61no—
481C2×C32—61no—
482C2×C32—91no—
483C2×C32—181no—
484C2×C32—181no—
485C2×C32—271no—
486C2×C32—541no—
487C2×C32—541no—
488C2×C32—541no—
489C2×C32—541no—
490C2×C32—541no—
491C2×C32—541no—
492C2×C32—541no—
493C2×C32—812no—
494C2×C32C3×(C3⋊D3)⋊C311yescharacteristic
495C2×C32C3×(C3⋊D3)⋊C311yescharacteristic
496C2×C32C3×(C3⋊D3)⋊C311yescharacteristic
497C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
498C2×C32C32×C3⋊D311yescharacteristic
499C3⋊D3—92no—
500C3⋊D3—92no—
501C3⋊D3—92no—
502C3⋊D3—92no—
503C3⋊D3—812no—
504C3×D3—272no—
505C3×D3—272no—
506C3×D3—272no—
507C3×D3—272no—
508C3×D3—812no—
509C3×D3—812no—
510C3×D3—812no—
511C3×D3—812no—
512C2×C9—31no—
513C2×C9—32no—
514C2×C9—61no—
515C2×C9—62no—
516C2×C9—62no—
517C2×C9—62no—
518C2×C9—62no—
519C2×C9—61no—
520C2×C9—61no—
521C2×C9—61no—
522D9—272no—
523D9—274no—
524C22×C3—811no—
525C22×C3—811no—
526C22×C3—811no—
527C22×C3—811no—
528C2×D3—271no—
529C2×D3—811no—
530C2×D3—811no—
531C2×D3—811no—
532C2×D3—811no—
533C32—21no—
534C32—21no—
535C32—21no—
536C32—21no—
537C32—31no—
538C32—31no—
539C32—61no—
540C32—61no—
541C32—61no—
542C32—61no—
543C32—91no—
544C32—181no—
545C32—181no—
546C32—271no—
547C32—541no—
548C32—541no—
549C32—541no—
550C32—541no—
551C32—541no—
552C32—541no—
553C32—541no—
554C32C2×C3×(C3⋊D3)⋊C311yescharacteristic
555C32C2×C3×(C3⋊D3)⋊C311yescharacteristic
556C32C2×C3×(C3⋊D3)⋊C311yescharacteristic
557C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
558C32C2×C32×C3⋊D311yescharacteristic
559C9—31no—
560C9—32no—
561C9—61no—
562C9—62no—
563C9—62no—
564C9—62no—
565C9—62no—
566C9—61no—
567C9—61no—
568C9—61no—
569C2×C3—31no—
570C2×C3—31no—
571C2×C3—31no—
572C2×C3—31no—
573C2×C3—61no—
574C2×C3—61no—
575C2×C3—61no—
576C2×C3—61no—
577C2×C3—61no—
578C2×C3—181no—
579C2×C3—181no—
580C2×C3—181no—
581C2×C3—181no—
582C2×C3—181no—
583C2×C3—181no—
584C2×C3—812no—
585C2×C3—812no—
586C2×C3—812no—
587C2×C3—812no—
588C2×C3C3×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
589D3—272no—
590D3—812no—
591D3—812no—
592D3—812no—
593D3—812no—
594C22—811noSylow
595C3—31no—
596C3—31no—
597C3—31no—
598C3—31no—
599C3—61no—
600C3—61no—
601C3—61no—
602C3—61no—
603C3—61no—
604C3—181no—
605C3—181no—
606C3—181no—
607C3—181no—
608C3—181no—
609C3—181no—
610C3C2×C3×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
611C2—812no—
612C2#1309164911yescharacteristic, direct product factor
subgroupG/H
center, hypercenterC2#13091649
commutator, cosocle, hypocenterC32×C9C22×C32
FrattiniC32C2×C32×C3⋊D3
FittingC2×#10624931C2
socleC2×C3C3×C3⋊((C3⋊D3)⋊C3)
LCSG ▷ C32×C9
UCSC1 ◁ C2

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13091649C2direct (N × H)
2. C2×#10624931C2semidirect
3. C2×C3⋊#4207C3semidirect
5. C2×C3⋊#4177C3semidirect
6. C2×C3⋊#4177C3semidirect
7. C2×C3⋊#4177C3semidirect
10. #10624931C22semidirect
13. C2×C3×#737C2×C3semidirect
14. C3⋊#4207C2×C3semidirect
23. C2×#6910D3semidirect
28. C2×C3×#731D3semidirect
29. C2×C3×#731C2×C3semidirect
30. C2×C3×#731C2×C3semidirect
31. C2×C3×#731C2×C3semidirect
32. C3⋊#4177C2×C3semidirect
33. C3⋊#4177C2×C3semidirect
34. C3⋊#4177C2×C3semidirect
37. C2×C3⋊(C3⋊D9)C32semidirect
59. C3×#737C22×C3semidirect
67. #6910C2×D3semidirect
72. C3×#731C2×D3semidirect
73. C3×#731C22×C3semidirect
74. C3×#731C22×C3semidirect
75. C3×#731C22×C3semidirect
98. C2×C3×3−1+2C3×D3semidirect
115. C2×C32×C9C3×D3semidirect
116. C2×C32×C9C2×C32semidirect
117. C3⋊(C3⋊D9)C2×C32semidirect
152. C2×#731C3×D3semidirect
153. C2×#731C3×D3semidirect
154. C2×#731C3×D3semidirect
155. C2×#731C3×D3semidirect
156. C2×#731C3×D3semidirect
157. C2×#731C3×D3semidirect
211. C3×3−1+2C2×C3×D3semidirect
228. C32×C9C2×C3×D3semidirect
229. C32×C9C22×C32semidirect
251. #731C2×C3×D3semidirect
252. #731C2×C3×D3semidirect
253. #731C2×C3×D3semidirect
254. #731C2×C3×D3semidirect
255. #731C2×C3×D3semidirect
256. #731C2×C3×D3semidirect
612. C2#13091649direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#130916492
C2×#106249312
C2×C3⋊#42073
C2×#923913
C2×C3⋊#41773
C2×#4177⋊C33
C2×C3×#41773